Choose the Right Sign for 670,110 vs 670,101

Number Comparison with Similar Large Numbers

Select the compatible sign:

670,110670,101 670,110\Box670,101

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Select the compatible sign:

670,110670,101 670,110\Box670,101

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Compare each digit of the numbers from left to right.
  • Step 2: Identify where the first difference occurs to determine which number is greater.

Let's work through these steps:

Step 1: Compare the digits of both numbers starting from the most significant digit.
Digits in the hundreds of thousands position: Both numbers have '6'.
Digits in the ten thousands position: Both numbers have '7'.
Digits in the thousands position: Both numbers have '0'.

Step 2: Compare the hundreds digits:
The hundreds digit for 670,110 is '1'
The hundreds digit for 670,101 is '1'
These are the same, so we continue.

Compare the tens digits:
The tens digit for 670,110 is '1'
The tens digit for 670,101 is '0'

In the tens position, 1 is greater than 0, indicating that 670,110 is greater than 670,101.

Therefore, the solution to the problem is that 670,110 is greater than 670,101, and we should use the sign > > .

The correct answer is 670,110>670,101 670,110 > 670,101 .

3

Final Answer

>

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare digits from left to right, starting with highest place value
  • Technique: Stop when digits differ: 670,110 has tens digit 1 > 0
  • Check: Verify by looking at place value: ten is greater than zero ✓

Common Mistakes

Avoid these frequent errors
  • Comparing all digits without stopping at first difference
    Don't compare every single digit when you find the first difference = wasted time and confusion! Once you find where digits differ, you know which number is larger. Always stop at the first different digit and make your comparison there.

Practice Quiz

Test your knowledge with interactive questions

Select the appropriate sign:

\( 24,909\Box24,990 \)

FAQ

Everything you need to know about this question

What if the numbers look almost the same?

+

Look carefully! Even numbers that seem identical can have small differences. Compare each place value systematically from left to right until you find where they differ.

Do I need to compare all the digits?

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No! Stop as soon as you find the first position where the digits are different. That difference tells you which number is larger - no need to check the remaining digits.

What does place value mean here?

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Place value shows how much each digit is worth. In 670,110, the digits represent: 6 hundred thousands, 7 ten thousands, 0 thousands, 1 hundred, 1 ten, 0 ones.

How do I remember which symbol means greater than?

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Think of the symbol > > as an arrow pointing to the smaller number, or remember: the bigger side faces the bigger number!

Why start comparing from the left?

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The leftmost digits have the highest place values and matter most. A difference in the thousands place is much more important than a difference in the ones place.

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